Heat the butter in a skillet over medium heat. Add the chopped jalapeño to the skillet and sauté until it starts to get tender, about 3-5 minutes.
Crack the eggs into a medium bowl and add a splash of almond milk, about 1 tablespoon or so. Whisk the eggs and milk until well mixed.
Turn the heat down to medium-low and pour the egg mixture into the skillet with the jalapeños. Cut the cream cheese into a few pieces and arrange them on top of the eggs in the skillet. Sprinkle the cheddar cheese over the top.
After the eggs have been cooking for 1-2 minutes and are completely set on the bottom, use a spatula to flip the eggs over in the pan. Cook for another 30-60 seconds, then fold one side over onto the other.
Transfer the omelet from the skillet to a plate and serve immediately.